λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,240,348
27,240,348
22 × 3 × 673 × 3373
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 673 × 3373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 63,674,128
Proper Divisor Sum 36,433,780
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #27240347 ← → #27240361

Radix Representation

Decimal 27240348
Binary 1100111111010011110011100 (25 bits)
Octal 0o147723634
Hexadecimal 0x19FA79C

Divisor Catalog (24)

1 2 3 4 6 12 673 1,346 2,019 2,692 3,373 4,038 6,746 8,076 10,119 13,492 20,238 40,476 2,270,029 4,540,058 6,810,087 9,080,116 13,620,174 27,240,348

Collatz Trajectory (255 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

27,240,348 13,620,174 6,810,087 20,430,262 10,215,131 30,645,394 15,322,697 45,968,092 22,984,046 11,492,023 34,476,070 17,238,035 51,714,106 25,857,053 77,571,160 38,785,580 19,392,790 9,696,395 29,089,186 14,544,593 43,633,780 21,816,890 10,908,445 32,725,336 16,362,668 8,181,334 4,090,667 12,272,002 6,136,001 18,408,004 9,204,002 4,602,001 13,806,004 6,903,002 3,451,501 10,354,504 5,177,252 2,588,626 1,294,313 3,882,940 1,941,470 970,735 2,912,206 1,456,103 4,368,310 2,184,155 6,552,466 3,276,233 9,828,700 4,914,350 2,457,175 7,371,526 3,685,763 11,057,290 5,528,645 16,585,936 8,292,968 4,146,484 2,073,242 1,036,621

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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